Write the equation 4y - 3 = √2x in the form ax + by + c = 0 and indicate the values of a , b and c,
in detail with steps please
Answers
The equation:
4y - 3 = √2x
4y - 3 - √2x = 0
- √2x + 4y - 3 = 0
a = -√2 , b = 4 , c = 3
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The equation can be written as; -√2x+4y-3 = 0
a = -√2,
b = 4, and
c = -3
GIVEN
Algebraic equation; 4y-3 = √2x
TO FIND
- To write the above equation in the form of ax+by+c = 0
- Indicate the value of a, b, and c
SOLUTION
We can simply solve the above problem as follows -
We know the standard form of a linear equation having two variables is - ax+by+c = 0
Where,
a, b and c are real numbers.
And the value of coefficients of x and y is not equal to zero.
We are given an algebraic equation-
4y-3 = √2x
Bringing √2x from RHS to LHS (positive sign changes to negative)
4y -3- √2x = 0
Rearranging the equation in the form of 'ax+by+c = 0'
-√2x +4y -3 = 0
Compared with the standard equation,
a = -√2
b = 4
c = -3
Hence, The equation can be written as -
-√2x+4y-3 = 0
value of a = -√2, b = 4, and c = -3
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